If in two triangles, corresponding sides are in the same ratio, then the two triangles are similar by which criterion?

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The two triangles are similar by SSS.

The two triangles are not similar.

The two triangles are right-angled.

None of these

answer is A.

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Detailed Solution

Given two triangles and their corresponding sides are in the same ratio.
The criterion for similar triangles: - (SSS Criterion) If in two triangles, corresponding sides are in the same ratio, then the two triangles are similar.
If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar.
This criterion is referred to as the SSS (Side–Side–Side) similarity criterion for two triangles.
If in two triangles, corresponding sides are in the same ratio, then the two triangles are similar by SSS(Side-Side-Side) criterion.
Therefore, the correct option is 1.

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